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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">npe</journal-id><journal-title-group><journal-title xml:lang="ru">Ядерная физика и инжиниринг</journal-title><trans-title-group xml:lang="en"><trans-title>Nuclear Physics and Engineering</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2079-5629</issn><issn pub-type="epub">2079-5637</issn><publisher><publisher-name>МИФИ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.56304/S2079562922050335</article-id><article-id custom-type="elpub" pub-id-type="custom">npe-151</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Материалы и технология для новых источников энергии</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Materials and Technologies for New Sources of Energy</subject></subj-group></article-categories><title-group><article-title>Температурная и размерная зависимость поля необратимости слоистого высокотемпературного сверхпроводника</article-title><trans-title-group xml:lang="en"><trans-title>Temperature and Dimensional Dependence of the Irreversibility Field of a Layered High-Temperature Superconductor</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Михайлов</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Mikhailov</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва, 115409</p></bio><bio xml:lang="en"><p>Moscow, 115409</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Максимова</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Maksimova</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва, 115409</p></bio><bio xml:lang="en"><p>Moscow, 115409</p></bio><email xlink:type="simple">anmaksimova@mephi.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Мороз</surname><given-names>А. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Moroz</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Москва, 115409</p></bio><bio xml:lang="en"><p>Moscow, 115409</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Гохфельд</surname><given-names>Д. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Gokhfeld</surname><given-names>D. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>660036 </p></bio><bio xml:lang="en"><p>Krasnoyarsk, 660036 </p></bio><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный исследовательский ядерный университет “МИФИ”</institution><country>Россия</country></aff><aff xml:lang="en"><institution>National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт физики им. Киренского Сибирского отделения РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Kirensky Institute of Physics, Siberian Branch of the Russian Academy of Sciences</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2023</year></pub-date><pub-date pub-type="epub"><day>31</day><month>12</month><year>2023</year></pub-date><volume>14</volume><issue>4</issue><fpage>339</fpage><lpage>344</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Михайлов А.А., Максимова А.Н., Мороз А.Н., Гохфельд Д.М., 2023</copyright-statement><copyright-year>2023</copyright-year><copyright-holder xml:lang="ru">Михайлов А.А., Максимова А.Н., Мороз А.Н., Гохфельд Д.М.</copyright-holder><copyright-holder xml:lang="en">Mikhailov A.A., Maksimova A.N., Moroz A.N., Gokhfeld D.M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://npe.elpub.ru/jour/article/view/151">https://npe.elpub.ru/jour/article/view/151</self-uri><abstract><p>Методом Монте-Карло в рамках двумерной модели слоистого ВТСП выполнены расчеты кривых намагниченности гранулированного высокотемпературного сверхпроводника при различном размере гранул. В данном подходе рассчитывается вклад в намагниченность только гранул, вклад межгранульных промежутков мал и не учитывается. Получены убывающие зависимости поля необратимости от температуры при фиксированном размере гранулы и возрастающие зависимости поля необратимости от ее размера при фиксированной температуре. Исследована зависимость остаточной намагниченности от времени при разной температуре. Показано, что скорость релаксации не зависит от размера гранулы в низкой температуре, но уменьшается с ростом размера (при размере гранулы меньше 3 мкм) в высокой температуре, когда существенным становится крип магнитного потока.</p></abstract><trans-abstract xml:lang="en"><p>The Monte Carlo method was used in a 2D model of the layered HTS to calculate the magnetization curves of a granulated high-temperature superconductor for various sizes of granules. In this approach magnetization of granules alone is taken into account, while the contribution of the gaps between granules is small and neglected. The irreversibility field has been found to decrease with temperature at the fixed size of granules and increase as the granule size increases at fixed temperature. The time dependence of residual magnetization has been studied at various temperatures. The relaxation rate is shown not to depend on the granule size at low temperatures but to decrease with the increasing size (provided that the granule size is less than 3 μm) at a high temperature when the magnetic flux creep becomes of importance.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>гранулированный ВТСП</kwd><kwd>метод Монте-Карло</kwd><kwd>поле необратимости</kwd><kwd>релаксация остаточной намагниченности</kwd></kwd-group><kwd-group xml:lang="en"><kwd>granulated HTSC</kwd><kwd>Monte Carlo method</kwd><kwd>irreversibility field</kwd><kwd>relaxation of residual magnetization</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа поддержена программой "Приоритет-2023" Национального  исследовательского  ядерного университета “МИФИ”.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Bean C.P. // Phys. Rev. Lett. 1962. 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